4165447680 has 468 divisors, whose sum is σ = 15476665152. Its totient is φ = 1074954240.

The previous prime is 4165447651. The next prime is 4165447703. The reversal of 4165447680 is 867445614.

4165447680 is a `hidden beast` number, since 41 + 6 + 544 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134369265 + ... + 134369295.

Almost surely, 2^4165447680 is an apocalyptic number.

4165447680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738332576).

4165447680 is an abundant number, since it is smaller than the sum of its proper divisors (11311217472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4165447680 is an frugal number, since it uses more digits than its factorization.

4165447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4165447680 is about 64540.2795159736. The cubic root of 4165447680 is about 1608.9920365458.

The spelling of 4165447680 in words is "four billion, one hundred sixty-five million, four hundred forty-seven thousand, six hundred eighty".